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Alexxandr [17]
3 years ago
8

Which statement are true about the angles in the diagram? Check all that apply

Mathematics
2 answers:
katrin [286]3 years ago
7 0

Answer:

the last one

Step-by-step explanation:

angle bcd is congrulent to ace

Ivanshal [37]3 years ago
7 0

Answer:

Options B,C,E are true.

Step-by-step explanation:

It has been given in the question ∠ACD is supplementary to ∠ACE and ∠BCD

∠ACD ≅ ∠BCE

Option A. ∠ACE is supplementary to ∠BCD

False. They are not lying on a point of straight line.

∠ACE + ∠BCD ≠180°

Option B. ∠BCE is supplementary to ∠ACE

Since ∠ACD + ∠ACE = 180° [Given]

and ∠ACD ≅ ∠BCE [Given]

Therefore, ∠BCE + ∠ACE = 180°

TRUE.

Option C. ∠BCD is supplementary to ∠BCE

Since ∠ACD + ∠BCD = 180°[Given]

and ∠ACD ≅ ∠BCE [Given]

So ∠BCE + ∠BCD = 180°

TRUE.

Option D. ∠ACE ≅ ∠BCE

Since ∠ACD + ∠ACE = 180°

And ∠ACD + ∠BCD = 180°

This is clear from these equations that ∠ACE is supplementary to ∠BCD.

FALSE :

Option E. ∠BCD is congruent to ∠ACE

As we have already proved in option D. ∠BCD ≅ ∠ACE

TRUE

Therefore, Options B, C, E are TRUE

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((6x-8)-2x)-((12x-7)-(4x-5))
KengaRu [80]

Answer:

-12x + 4

Step-by-step explanation:

(6x - 8 - 2x) - (12x - 7) - (4x - 5)

The subtraction sign before the parenthesis is basically multiplying by -1, so the subtraction signs in the parenthesis have to change to addition. After that, you can remove the parenthesis.

6x - 8 - 2x - 12x + 7 - 4x + 5

Simplified = -12x + 4

6 0
1 year ago
Find the mode for the following distribution.
goldfiish [28.3K]

Answer:

24

Step-by-step explanation:

mode means most so 24 is written twice and the others only once.

you're welcome if I helped. :/ (not sure if I helped)

7 0
3 years ago
The area of the square is 100 square centimeters. What is the area of the circle?
swat32

Answer:

  • Since the question is incomplete, see the figure attached and the explanation below.

Explanation:

Since the figure is missing, I enclose the figure of a square inscribed in a circle.

Since the <em>area of a square</em> is the side length squared, you can determine the side length:

  • Area = (side length)²
  • 100 cm² = (side lenght)²

        side\text{ }length=\sqrt{100cm^2}=10cm

From the side length, you can find the diagonal of the square, which is equal to the diameter of the circle, using the Pythagorean theorem:

  • diagonal² = (10cm)² + (10cm)² = 2 × (10cm)²

         diagonal=\sqrt{2\times (10cm)^2}\\ \\ diagonal=10\sqrt{2} cm

The area of the circle is π (radius)².

  • radius = diameter/2 = diagonal/2

        area= \pi \times (5\sqrt{2}cm)^2=50\pi cm^2

6 0
3 years ago
Solve the equation (z-5)/-7=11
Lorico [155]
Z = -72

Ask me in the comments section if you want the equation solved step-by-step.

Hope this helped!
4 0
3 years ago
While playing volleyball, Ralph drink 3/4 of a jug of water. If the jughead 64 fluid ounces of water, how many fluid ounces of w
MaRussiya [10]

Answer:

48

Step-by-step explanation:

4 0
3 years ago
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